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Liu, Qiming; Xu, Rui

Periodic solutions of a Cohen-Grossberg-type BAM neural networks with distributed delays and impulses. (English) Zbl 1244.93122

J. Appl. Math. 2012, Article ID 643418, 17 p. (2012).
Summary: A class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of \(M\)-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications.

Cited in 5 Documents

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
92B20 Neural networks for/in biological studies, artificial life and related topics

Keywords:

Cohen-Grossberg-type BAM neural networks; exponential stability; Lyapunov function
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\textit{Q. Liu} and \textit{R. Xu}, J. Appl. Math. 2012, Article ID 643418, 17 p. (2012; Zbl 1244.93122)
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